#3 Find the line equation(s) of the line(s) through point P(1, 0, 1) that meets the following line at point(s) at distance 3 from point Po(1, 2, 0). L:

Q: Find the point on the line x - 3y+9 = 0 that is closest to the point (-1, 3). 1) (-0.9, 2.7) O 2)…

A: Closest distance form a point to a line is normal distance from point to line.

Q: a point Q(x2, y2) is on the line segment passing through R(-2,5) and S(4,1). Find the coordinates of…

A: Given: Given that the point Qx,y is on the line segment passing through R-2,5 and S4,1 Point Q is…

Q: Find the distance between the points (3,6) and the line x - 2y +3 =0.

A:

Q: Find the equation of the line perpendicular to y=−2y= through the point (3,2)

A:

Q: What is the equation of a line parallel to the line y=2x that passes through the point (0,4)?

A: Solution:      Equation of any parallel line to y = 2x is      y = 2x + c where c is constant.

Q: Find the distance of the point (1,3) from the line 2x-3y+9=0 measured along a line x-y+1=0.

A: Firstly we will find a line passing through (1,3) and parallel to x-y+1=0 Then the point of…

Q: Find equation of two different lines l2 and l3 through the point (6,-4) that are parallel to the…

A: The equation of line in standard form is ax+by=k where k is a constant. Since the equation of the…

Q: Find equation of two different lines l2 and l3 through the point (6, -4) that are perpendicular to…

A: According to the Question , l2is prependicular to l1 (2x-3y=5) Now, 2x-3y=5⇒3y=2x-5⇒y=23x-53 ⇒Slope…

Q: Find the equation of the line passing through the point 4(2, 3) and making an angle of 45° with the…

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Q: Find an equation of a line parallel to y-3x=5 and passing through the point (2,2) y=?

A: parallel to y= 3x + 5  p(2,2)